Under Assumptions MLR.1 through MLR.4, E(B;) = B, for any value of Bj, j = 1, .., k: Bj is an a. unbiased estimator for Bj. Unbiasedness is a feature of the sampling distributions of ß; 's, which says nothing about the O b. estimates obtained from a given sample. It is always possible that one random sample, used to estimate (1), gives point estimates far from the true population parameters B;'s. Including one or more irrelevant variables in a multiple regression model, or overspecifying the c. model, does not affect the unbiasedness of the OLS estimators, but it can have undesirable effects of the variances of the OLS estimators. d. All of the above.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Consider the multiple linear regression model, y = Bo + B1X1 + ...+ BrXk + u (1). Which of the following
statements is correct?
Under Assumptions MLR.1 through MLR.4, E(B) = B; for any value of Bj, j = 1,
k: Bj is an
....
а.
unbiased estimator for Bj.
Unbiasedness is a feature of the sampling distributions of Bj 's, which says nothing about the
b.
estimates obtained from a given sample. It is always possible that one random sample, used to
estimate (1), gives point estimates far from the true population parameters B;'s.
Including one or more irrelevant variables in a multiple regression model, or overspecifying the
c. model, does not affect the unbiasedness of the OLS estimators, but it can have undesirable
effects of the variances of the OLS estimators.
d. All of the above.
Transcribed Image Text:Consider the multiple linear regression model, y = Bo + B1X1 + ...+ BrXk + u (1). Which of the following statements is correct? Under Assumptions MLR.1 through MLR.4, E(B) = B; for any value of Bj, j = 1, k: Bj is an .... а. unbiased estimator for Bj. Unbiasedness is a feature of the sampling distributions of Bj 's, which says nothing about the b. estimates obtained from a given sample. It is always possible that one random sample, used to estimate (1), gives point estimates far from the true population parameters B;'s. Including one or more irrelevant variables in a multiple regression model, or overspecifying the c. model, does not affect the unbiasedness of the OLS estimators, but it can have undesirable effects of the variances of the OLS estimators. d. All of the above.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman